Abelian JSJ decomposition of graphs of free abelian groups
Group Theory
2010-12-07 v1
Abstract
A group G is a vGBS group if it admits a decomposition as a finite graph of groups with all edge and vertex groups finitely generated and free abelian. We construct the JSJ decomposition of a vGBS group over abelian groups. We prove that this decomposition is explicitly computable, and may be obtained by local changes on the initial graph of groups.
Cite
@article{arxiv.1012.1311,
title = {Abelian JSJ decomposition of graphs of free abelian groups},
author = {Benjamin Beeker},
journal= {arXiv preprint arXiv:1012.1311},
year = {2010}
}
Comments
19 pages, 6 figures